A205610 Number of 3 X (n+1) 0..3 arrays with every 2 X 2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..3 introduced in row major order.

110, 1030, 9688, 95564, 946066, 9502090, 96151010, 982430426, 10112195016, 104859909328, 1094042468862, 11478802373122, 121006212428726, 1280887123146782, 13605620542741848, 144946618170994884

Offset

1,1

Comments

Row 2 of A205609.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 17*a(n-1) +31*a(n-2) -1380*a(n-3) +24*a(n-4) +37716*a(n-5) +28069*a(n-6) -327857*a(n-7) -359875*a(n-8) +1111408*a(n-9) +1460528*a(n-10) -1281648*a(n-11) -2003792*a(n-12) +11264*a(n-13) +365568*a(n-14).

Example

Some solutions for n=4
..0..1..2..0..3....0..0..0..0..1....0..1..1..0..0....0..0..0..1..1
..3..0..1..2..1....0..1..1..0..0....0..0..1..0..1....0..1..1..1..2
..2..2..1..0..0....3..3..2..2..3....1..2..1..2..1....2..2..3..0..0

Crossrefs

Cf. A205609.

Sequence in context: A284348 A234760 A234753 * A159484 A283219 A283137

Adjacent sequences: A205607 A205608 A205609 * A205611 A205612 A205613

Keyword

nonn

Author

R. H. Hardin, Jan 29 2012

Status

approved